Question

If one side of the square handkerchief is doubled in length what will be the area?

Answer 1

Area of handkerchief:

Explanation:

• Given that, the handkerchief is in a square shape.
• Let l be the length of the handkerchief .
• The area of a square the square of its length. Originally the area of the handkerchief is A.

       A =  $l^{2}$               ...(1)

• Now the one side of a square is doubled and another remains the same, then it will form a rectangle.
• The area of a rectangular handkerchief will be ' a '.
• According to the formula of the area of a rectangle, the area of the handkerchief is

        a = $(2l) \times l$

        a = 2$l^2$                ...(2)

• From equation (1) & (2),

       a = 2A

Hence the area of the handkerchief will be double from the original.